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Oak MathsTest · Maths

Writing composite functions

The starter and exit quiz of the lesson “Writing composite functions”, from the unit “Functions and proof” (Year 11 Maths) by Oak National Academy.

Free to use. Edit it, share it and hand it out to your students.

Oak National Academy

12 questions

  1. For the function \text{f}(x) if \text{f}(10)=35 then 10 is a value in the...
  2. Simplify 3x + 12 - x - 7.
  3. Simplify 4(x-3)+x-3.
  4. Expand and simplify (x+5)^2+(x+5).
  5. Expand and simplify 2(x+5)-(x+8).
  6. If \text{f}(x)=5x, \text{g}(x)=3x+4 and \text{h}(x)=1-2x evaluate and order the below from greatest to smallest value.
  7. __________ function is where another function is applied to the output of a function.
  8. Match the notation to the correct language.
  9. If {\text{f}}(x)=2x and {\text{g}}(x)=5x-1 then {\text{fg}}(5)=___.
  10. If {\text{f}}(x)=2x and {\text{g}}(x)=5x-1 then {\text{gf}}(5)=___.
  11. If {\text{f}}(x)=9x and {\text{g}}(x)=3-2x how do we express the function {\text{fg}}(x)?
  12. If {\text{f}}(x)=x^2 and {\text{g}}(x)=3-2x, how do we express the function {\text{fg}}(x)?

License: OGL

Writing composite functions · Examplary